Matrix Form of the Simplex Algorithm

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In this video we discover that iterating isn't the only way ti get the optimal tableau of an LP.
  1. Sir Mico's Lectures
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I have a question.
Can the basic variables be chosen arbitrarily? Or is there some criteria for a particular set of basic variables to be chosen?
Like in this case, if you had perhaps chosen X2, X5 and X6 as your basic variables, would it be possible to arrive at a right answer?

And I have another question:
Where did the 4x1 come from? In the original question, there was no 4x1

Shogun
Автор

Hello, There is something that I didn't understand
the basic variables and their orders are already the result of the simplex tableau
I don't understand in that case what are matrices useful for ?
I thought that the matrices would be useful to make the simplex tableau calculations

hichemchtara
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